How do you simplify $\frac{9}{a} = \frac{8}{a - 3}$ $\frac { 9} { a } = \frac { 8} { a - 3}$ ?

Question

867 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-13T18:27:11

$a = 27$ $a = 27$

First you'd like to eliminate the denominators by cross multiplying them:

$9 (a - 3) = 8 (a)$ $9(a - 3) = 8(a)$

Multiply the brackets:

$9 a - 27 = 8 a$ $9a - 27 = 8a$

Collect like terms:

$a - 27 = 0$ $a - 27 = 0$

Add 27 to both sides to isolate $a$ $a$ :

$a = 27$ $a = 27$

How do you simplify 9a=8a−3\frac { 9} { a } = \frac { 8} { a - 3}?